Question

Please help !!! can someone explain?

Answer 1

Given:

Total cites are
`1(1)/(2)` inches apart on the map.

Scale of the map is
`(1)/(2)\text{ inch }=40\text{ miles}`

To find:

The actual distance between two cities.

Solution:

Distance between two cities on map =
`1(1)/(2)` inches

=
`(1(2)+1)/(2)` inches

=
`(3)/(2)` inches

We have,

`(1)/(2)\text{ inch }=40\text{ miles}`

Multiply both sides by 3.

`(3)/(2)\text{ inch }=3* 40\text{ miles}`

`(3)/(2)\text{ inch }=120\text{ miles}`

So, the actual distance between two cities is 120 miles.

Therefore, the correct option is D.